Finite Group Databasebeta

← Group #238183

Character table — Group #238183

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80
size111111112222222222222222222244444444444444444444888888888888888816161616161616161616161616161616
order12222222222244444444444444444444888888888888888844444444888888882244444444448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11111-1-111-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111-1-111111
χ511111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-111-1-1-1-1-1-1-11111
χ611111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11-1-11111111-1-1-1-1
χ711111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-111-1-11-1-1-1-1
χ811111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-111-1-111-11111
χ911111111-1-1-1-111111-1-1-1-1-1-1-1-1111-1-11111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1111-1-111-1-1-1-1111-1-1
χ1011111111-1-1-1-111111-1-1-1-1-1-1-1-1111-1-11111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-111-1-11111-1-1-111
χ1111111111-1-1-1-111111-1-1-1-1-1-1-1-1111-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1111111-1-1-11111-1-1-1-1-111
χ1211111111-1-1-1-111111-1-1-1-1-1-1-1-1111-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1111-1-1-1-111111-1-1
χ1311111111-1-1-1-111111-1-1-1-1-1-1-1-1111-1-111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1111111-1-1-1-1-11111-111-1-1
χ1411111111-1-1-1-111111-1-1-1-1-1-1-1-1111-1-111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-11111-1-111111-1-1-1-11-1-111
χ1511111111-1-1-1-111111-1-1-1-1-1-1-1-1111-1-111-1-1-1-1-1-1-1-111111111-1-111-1-1111111-1-1-1-1111-1-1-1-1-1-1111-1-111
χ1611111111-1-1-1-111111-1-1-1-1-1-1-1-1111-1-111-1-1-1-1-1-1-1-111111111-1-111-1-1111111-1-1-1-1-1-1-1111111-1-1-111-1-1
χ17222222222222222-2-22222-2-2-2-2-2-22-2-2-2-20000000000000000000000000000000000200002-200-20000
χ18222222222222222-2-22222-2-2-2-2-2-22-2-2-2-20000000000000000000000000000000000-20000-220020000
χ19222222222222-2-2-222-2-2-2-2-2-2-2-222-222-2-200000000000000002222-2-2-2-2000000000000000000000000
χ20222222222222-2-2-222-2-2-2-2-2-2-2-222-222-2-20000000000000000-2-2-2-22222000000000000000000000000
χ21222222222222-2-2-2-2-2-2-2-2-22222-2-2-2-2-22200000000000000000000000000000000000002-2002-200000
χ22222222222222-2-2-2-2-2-2-2-2-22222-2-2-2-2-2220000000000000000000000000000000000000-2200-2200000
χ2322222222-2-2-2-2222-2-2-2-2-2-22222-2-2222-2-2000000000000000000000000000000000020000-2200-20000
χ2422222222-2-2-2-2222-2-2-2-2-2-22222-2-2222-2-20000000000000000000000000000000000-200002-20020000
χ2522222222-2-2-2-2-2-2-2222222222222-2-2-2-2-2000000000000000022-2-2-2-222000000000000000000000000
χ2622222222-2-2-2-2-2-2-2222222222222-2-2-2-2-20000000000000000-2-22222-2-2000000000000000000000000
χ2722222222-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2222200000000000000000000000000000000000002-200-2200000
χ2822222222-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-222220000000000000000000000000000000000000-22002-200000
χ29222-22-2-2-222-2-222-22222-2-222-2-2-2-2-22-22-2000000000000000000000000000000002-202-200000000000
χ30222-22-2-2-222-2-222-22222-2-222-2-2-2-2-22-22-200000000000000000000000000000000-220-2200000000000
χ31222-22-2-2-222-2-222-2-2-222-2-2-2-22222-2-22-220000000000000000000000002i2i−2i−2i2i2i−2i−2i0000000000000000
χ32222-22-2-2-222-2-222-2-2-222-2-2-2-22222-2-22-22000000000000000000000000−2i−2i2i2i−2i−2i2i2i0000000000000000
χ33222-22-2-2-222-2-2-2-2222-2-222-2-222-2-222-2-22000000000000000000000000000000000000000000002i−2i2i−2i
χ34222-22-2-2-222-2-2-2-2222-2-222-2-222-2-222-2-2200000000000000000000000000000000000000000000−2i2i−2i2i
χ35222-22-2-2-222-2-2-2-22-2-2-2-22222-2-2222-222-22i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i00000000000000000000000000000000
χ36222-22-2-2-222-2-2-2-22-2-2-2-22222-2-2222-222-2−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i00000000000000000000000000000000
χ37222-22-2-2-2-2-22222-222-2-222-2-222-2-2-2-222-2000000000000000000000000000000002-20-2200000000000
χ38222-22-2-2-2-2-22222-222-2-222-2-222-2-2-2-222-200000000000000000000000000000000-2202-200000000000
χ39222-22-2-2-2-2-22222-2-2-2-2-22222-2-222-22-2-220000000000000000000000002i2i−2i−2i−2i−2i2i2i0000000000000000
χ40222-22-2-2-2-2-22222-2-2-2-2-22222-2-222-22-2-22000000000000000000000000−2i−2i2i2i2i2i−2i−2i0000000000000000
χ41222-22-2-2-2-2-222-2-222222-2-222-2-2-2-22-22-22000000000000000000000000000000000000000000002i−2i−2i2i
χ42222-22-2-2-2-2-222-2-222222-2-222-2-2-2-22-22-2200000000000000000000000000000000000000000000−2i2i2i−2i
χ43222-22-2-2-2-2-222-2-22-2-222-2-2-2-2222222-22-22i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i00000000000000000000000000000000
χ44222-22-2-2-2-2-222-2-22-2-222-2-2-2-2222222-22-2−2i−2i−2i−2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i00000000000000000000000000000000
χ4522-22-2-2-2200000002-22i−2i2i−2i2i−2i2i−2i2-200000i2i2−i2−i2i2i2−i2−i222−2−222−2−22i−2i00002-22−22−2i2−i2i2−i20000000000000000
χ4622-22-2-2-2200000002-22i−2i2i−2i2i−2i2i−2i2-200000i2i2−i2−i2i2i2−i2−i222−2−222−2−2−2i2i0000-22−22−22−i2i2−i2i20000000000000000
χ4722-22-2-2-2200000002-22i−2i2i−2i2i−2i2i−2i2-200000−i2−i2i2i2−i2−i2i2i2−2−222−2−2222i−2i00002-2−22−22−i2i2−i2i20000000000000000
χ4822-22-2-2-2200000002-22i−2i2i−2i2i−2i2i−2i2-200000−i2−i2i2i2−i2−i2i2i2−2−222−2−222−2i2i0000-222−22−2i2−i2i2−i20000000000000000
χ4922-22-2-2-2200000002-2−2i2i−2i2i−2i2i−2i2i2-200000i2i2−i2−i2i2i2−i2−i2−2−222−2−2222i−2i0000-222−22−2−i2i2−i2i20000000000000000
χ5022-22-2-2-2200000002-2−2i2i−2i2i−2i2i−2i2i2-200000i2i2−i2−i2i2i2−i2−i2−2−222−2−222−2i2i00002-2−22−22i2−i2i2−i20000000000000000
χ5122-22-2-2-2200000002-2−2i2i−2i2i−2i2i−2i2i2-200000−i2−i2i2i2−i2−i2i2i222−2−222−2−22i−2i0000-22−22−22i2−i2i2−i20000000000000000
χ5222-22-2-2-2200000002-2−2i2i−2i2i−2i2i−2i2i2-200000−i2−i2i2i2−i2−i2i2i222−2−222−2−2−2i2i00002-22−22−2−i2i2−i2i20000000000000000
χ5322-2-2-222-20000000-222i−2i−2i2i−2i2i2i−2i2-20000022−2−2−2−222i2i2−i2−i2−i2−i2i2i2002-22i−2i00i2−i2−i2i2−222−20000000000000000
χ5422-2-2-222-20000000-222i−2i−2i2i−2i2i2i−2i2-20000022−2−2−2−222i2i2−i2−i2−i2−i2i2i200-22−2i2i00−i2i2i2−i22−2−220000000000000000
χ5522-2-2-222-20000000-222i−2i−2i2i−2i2i2i−2i2-200000−2−22222−2−2−i2−i2i2i2i2i2−i2−i2002-22i−2i00−i2i2i2−i22−2−220000000000000000
χ5622-2-2-222-20000000-222i−2i−2i2i−2i2i2i−2i2-200000−2−22222−2−2−i2−i2i2i2i2i2−i2−i200-22−2i2i00i2−i2−i2i2−222−20000000000000000
χ5722-2-2-222-20000000-22−2i2i2i−2i2i−2i−2i2i2-20000022−2−2−2−222−i2−i2i2i2i2i2−i2−i2002-2−2i2i00−i2i2i2−i2−222−20000000000000000
χ5822-2-2-222-20000000-22−2i2i2i−2i2i−2i−2i2i2-20000022−2−2−2−222−i2−i2i2i2i2i2−i2−i200-222i−2i00i2−i2−i2i22−2−220000000000000000
χ5922-2-2-222-20000000-22−2i2i2i−2i2i−2i−2i2i2-200000−2−22222−2−2i2i2−i2−i2−i2−i2i2i2002-2−2i2i00i2−i2−i2i22−2−220000000000000000
χ6022-2-2-222-20000000-22−2i2i2i−2i2i−2i−2i2i2-200000−2−22222−2−2i2i2−i2−i2−i2−i2i2i200-222i−2i00−i2i2i2−i2−222−20000000000000000
χ6144-44-4-4-440000000-444i−4i4i−4i−4i4i−4i4i-4400000000000000000000000000000000000000000000000000000
χ6244-44-4-4-440000000-44−4i4i−4i4i4i−4i4i−4i-4400000000000000000000000000000000000000000000000000000
χ6344-4-4-444-400000004-44i−4i−4i4i4i−4i−4i4i-4400000000000000000000000000000000000000000000000000000
χ6444-4-4-444-400000004-4−4i4i4i−4i−4i4i4i−4i-4400000000000000000000000000000000000000000000000000000
χ654-444-44-4-400004-44000000000000-4000022−2222−2222−2222−220000000000000000000000000000000000000000
χ664-444-44-4-400004-44000000000000-40000−2222−2222−2222−22220000000000000000000000000000000000000000
χ674-444-44-4-40000-44-400000000000040000000000002i2−2i22i2−2i22i2−2i22i2−2i200000000000000000000000000000000
χ684-444-44-4-40000-44-40000000000004000000000000−2i22i2−2i22i2−2i22i2−2i22i200000000000000000000000000000000
χ694-44-4-4-44400004-4-4000000000000400000000000022−2222−22−2222−222200000000000000000000000000000000
χ704-44-4-4-44400004-4-40000000000004000000000000−2222−222222−2222−2200000000000000000000000000000000
χ714-44-4-4-4440000-444000000000000-400002i2−2i22i2−2i2−2i22i2−2i22i20000000000000000000000000000000000000000
χ724-44-4-4-4440000-444000000000000-40000−2i22i2−2i22i22i2−2i22i2−2i20000000000000000000000000000000000000000
χ734-4-444-44-44-44-4000000000000000000002i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i00000000000000000000000000000000
χ744-4-444-44-44-44-400000000000000000000−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i00000000000000000000000000000000
χ754-4-444-44-4-44-44000000000000000000002i−2i−2i2i2i−2i−2i2i−2i2i2i−2i−2i2i2i−2i00000000000000000000000000000000
χ764-4-444-44-4-44-4400000000000000000000−2i2i2i−2i−2i2i2i−2i2i−2i−2i2i2i−2i−2i2i00000000000000000000000000000000
χ774-4-4-444-444-4-44000000000000000000002-2-22-222-22-2-22-222-200000000000000000000000000000000
χ784-4-4-444-444-4-4400000000000000000000-222-22-2-22-222-22-2-2200000000000000000000000000000000
χ794-4-4-444-44-444-4000000000000000000002-2-22-222-2-222-22-2-2200000000000000000000000000000000
χ804-4-4-444-44-444-400000000000000000000-222-22-2-222-2-22-222-200000000000000000000000000000000

Here i is the imaginary unit (i² = −1).